A Stochastic Characterization of Arov‐completable Matrix‐valued Schur Functions

DOI10.1002/mana.19941690112zbMath0904.47012OpenAlexW2107719214MaRDI QIDQ4321088

Bernd Kirstein, Bernd Fritzsche

Publication date: 19 January 1999

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19941690112

zbMATH Keywords

matrix-valued functionblock partition\((p,q)\)-type Arov-innerArov-completablebackward and forward innovation vectorsholomorphic \(p\times q\) matrix-valued function

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear operator methods in interpolation, moment and extension problems (47A57) Prediction theory (aspects of stochastic processes) (60G25)

Related Items (1)

A function-theoretic approach to a parametrization of the set of solutions of a completely indeterminate matricial Nehari problem

Cites Work

• Left and right Blaschke-Potapov products and Arov-singular matrix-valued functions
• On spectrally associated Schur functions, Arov-inner functions and a Nehari-type completion problem for Schur functions
• The square-integrability of matrix-valued functions with respect to a non-negative Hermitian measure
• Cyclic vectors and invariant subspaces of the backward shift operator
• Defect Functions of Holomorphic Contractive Matrix Functions, Regular Extensions and Open Systems

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